Answer:
x=12
Step-by-step explanation:
Since the 2 lines are parallel we can use the rules of transversals. These 2 angels are alternate side interior. This means that they are congruent and have the same measurement. Because they have the same measurement, we can set them equal to each other and solve for x.
- First, set the expressions equal to each other
13x-21 = 5x+75
- Next, add 21 to both sides
13x = 5x+96
- Then, subtract 5x from both sides
8x = 96
- Finally, divide both sides by 8
x=12
